科研之友
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摘要
In this work we introduce two approximate duality approaches for vector optimization problems. The first one by means of approximate solutions of a scalar Lagrangian, and the second one by considering -proper efficient solutions of a recently introduced set-valued vector Lagrangian. In both approaches we obtain weak and strong duality results for -proper efficient solutions of the primal problem, under generalized convexity assumptions. Due to the suitable limit behaviour of the -proper efficient solutions when the error tends to zero, the obtained duality results extend and improve several others in the literature.
- 出版日期2016-1
